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Finding the Fourth Proportional to 272,872.54, 409,364.17 and 85,840.54

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Solution

The fourth proportional to 272,872.54, 409,364.17 and 85,840.54 is: 128,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,872.54 : 409,364.17 = 85,840.54 : x
  2. Step 2: Convert to fraction form
    272,872.54/409,364.17 = 85,840.54/x
  3. Step 3: Cross multiply
    272,872.54x = 409,364.17 × 85,840.54
  4. Step 4: Simplify right side
    272,872.54x = 35,140,041,409.45
  5. Step 5: Solve for x
    x = 35,140,041,409.45/272,872.54
  6. Step 6: Final answer
    x = 128,778.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.